Statistics Track

Grade 7 Lessons:

In this lesson, students will explore data collection using a catapult and perform statistical analysis of the data. Students will compare two sets of data using graphical and numerical representations, including standard deviation

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.HSS.ID.A.1
  • CCSS.MATH.CONTENT.HSS.ID.A.2
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

In this lesson, students will practice calculating mean absolute deviations and increase their conceptual understanding of how the MAD is related to data distribution by comparing dot plots of multiple samples. This lesson uses the problem of invasive species as an engaging situation for statistical analysis.

This lesson can be used after students have experienced an original student tutorial found at floridastudents.org that would help review the concepts.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.MATH.PRACTICE.MP8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will explore data collection by blowing soap bubbles and performing statistical analysis of the data. Students will compare two sets of data using graphical and numerical representations, including mean absolute deviation. Student will answer the question, “Do different soap brands produce different-sized bubbles?”

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.HSS.ID.A.1
  • CCSS.MATH.CONTENT.HSS.ID.A.2
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this interdisciplinary lesson, students will explore data collection using a catapult and perform statistical analysis of the data. Students will create boxplots for data analysis that will help to demonstrate the scientific concepts of transfer of energy.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • NGSS.MS-PS3-1
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

In this lesson, students will explore how the mean and median are affected by different data distributions. Students will enhance their knowledge of mean and median as they are challenged to create a variety of distributions with specific criteria. They will also begin to develop an understanding of how these measures can be affected and therefore which measure may be a better statistic to describe the data.

Standards Addressed

  • CCSS.MATH.CONTENT.6.SP.A.3
  • CCSS.MATH.CONTENT.6.SP.B.5.C
  • CCSS.MATH.CONTENT.6.SP.B.5.D
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP3
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will explore how the mean and median are affected by adjusting values in a data set. Students will enhance their knowledge of mean and median as they are challenged to create a variety of data sets with specific criteria. They will also begin to develop an understanding of how these measures can be affected and therefore which measure may be a better statistic to describe the data.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students gather reaction data using two different procedures to help illustrate the bias that can occur due to human perception. This activity will further help to develop the idea that error is inherent in data collection. Understanding the concept of error in data is fundamental in being able to interpret and begin to understand confidence intervals and reliability in data analysis.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.HSS.ID.A.2
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP1
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP3
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 1, 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools. They will then statistically analyze the class data sets and begin to understand that error is inherent in all data.

Standards Addressed

  • CCSS.MATH.CONTENT.6.SP.A.2
  • CCSS.MATH.CONTENT.6.SP.B.4
  • CCSS.MATH.CONTENT.6.SP.B.5.A
  • CCSS.MATH.CONTENT.6.SP.B.5.B
  • CCSS.MATH.CONTENT.6.SP.B.5.C
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.PRACTICE.MP2 CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

  • Sensor Wand
  • Temperature Probe (No 3D Kit Used)

In this lesson, students will gather information about different types of light bulbs and their efficiency at producing light. Based on their findings, they will identify cost-saving measures that people can take to reduce energy consumption.

Standards Addressed

  • CCSS.MATH.CONTENT.7.RP.A.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • NGSS.MS-ESS3-3
  • NGSS.MS-ESS3-4
  • NGSS Science & Engineering Practices: 1, 2, 5, 6, 8

MyStemKits 3D Kits Used

The changing climate is an important topic for both scientific analysis and worldly knowledge. This lesson uses data collected by the National Snow and Ice Data Center to create and use statistical analysis as a tool to evaluate the sea ice loss. Students will use technology to quickly generate graphs for each month, looking for trends, patterns, or deviations over time.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • NGSS.MS-ESS2-2
  • NGSS.MS-ESS3-1
  • NGSS.MS-ESS3-2
  • NGSS.MS-ESS3-3
  • NGSS.MS-ESS3-4
  • NGSS.MS-ESS3-5
  • NGSS Science & Engineering Practices: 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

Not all measurements are easily or directly determinable. In this lesson, students will use 3D-printed ocean models to gather measurements, estimate the average depth of two different regions of the ocean, and then determine which portion has a different average depth. These activities facilitate understanding of how repeated random sampling techniques allow students to compare different populations.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.B.4
  • NGSS Science & Engineering Practices: 2, 4, 7

MyStemKits 3D Kits Used

Not all measurements are easily or directly determinable. In this lesson, students will use 3D-printed ocean models to gather measurements, estimate the average depth of two different regions of the ocean, and then determine which portion has a deeper average depth. These activities facilitate understanding of how repeated random sampling techniques allow students to compare different populations.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.4

MyStemKits 3D Kits Used

In this lesson, students will explore statistical sampling methods, specifically the quadrat method, and evaluate how well it produces samples similar to the population. Students will compare their sampling results to the entire population to scrutinize the validity of this sampling method.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

In this lesson, students will develop a sampling method to make inferences about the invasive lionfish in the Atlantic Ocean. Students will carry out their investigation, create histograms, and calculate quantitative data like mean absolute deviation to help make conjectures about the lionfish population. Students will then analyze their sampling methodology by repeating the procedure with the population data. This investigation not only allows students the opportunity to simulate and improve their own methodologies, but also provides a current and real-life scientific issue to be examined.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.HSS.IC.A.2
  • CCSS.MATH.CONTENT.HSS.IC.B.3
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP3
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.ELA-LITERACY.RST.6-8.3
  • CCSS.ELA-LITERACY.RST.11-12.3
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

In this lesson, students are presented with a problem-based learning challenge to showcase their previously-learned statistical skills. Students will use basic measures of center and variability to create a bean bag toss game board that adheres to specific parameters by testing and analyzing the frequencies within samples.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.7.SP.C.7.A
  • CCSS.MATH.CONTENT.7.SP.C.7.B
  • CCSS.MATH.CONTENT.HSS.ID.A.2
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP1
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP3
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will be introduced to the basic concept of probability and how to calculate the probability of simple events. Students will see how some events may be more or less likely than others and then visualize this using a 0-1 number line, connecting probability to fractions, decimals, and percentages.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.5
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.MATH.PRACTICE.MP8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will be introduced to the concept of using probability to determine the relative frequency that a specific event is expected to occur. Students will also see how recording data from experiments and/or trials can help them determine the long-run relative frequency of an event.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.6
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.MATH.PRACTICE.MP8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will explore the idea of probability in terms of confidence levels with repeated trials. The use repeated trials will help conceptualize the law of large numbers and its relationship to theoretical and experimental probability. The lesson also uses technology to simulate multiple trials. Students will also interpret the distribution of the trials in dot plots to help make inferential decisions.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.6.SP.B.4
  • CCSS.MATH.CONTENT.7.SP.C.6
  • CCSS.MATH.CONTENT.7.SP.C.7.B
  • CCSS.MATH.CONTENT.HSS.IC.A.2
  • CCSS.MATH.CONTENT.HSS.IC.B.5
  • CCSS.MATH.CONTENT.HSS.ID.A.1
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP3
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • NGSS Science & Engineering Practices: 1, 2, 4, 5, 6, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will explore the use of probability models to compare and contrast theoretical probability and experimental probability. Student will use repeated trials to help conceptualize the law of large numbers and its relationship to theoretical and experimental probability.

Standards Addressed

  • CCSS.MATH.CONTENT.6.SP.C.5
  • CCSS.MATH.CONTENT.7.SP.C.6
  • CCSS.MATH.CONTENT.7.SP.C.7
  • NGSS Science & Engineering Practices: 1, 2, 4, 5, 6, 8

MyStemKits 3D Kits Used

In this lesson, students will explore theoretical probability and sampling methods to make inferences and conclusions about basic claims. This simulation will allow students to decipher which dice are loaded and which are fair, which will help them understand that basic knowledge of what “should” happen is essential when analyzing results from experiments and statistical manipulations.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.C.5
  • CCSS.MATH.CONTENT.7.SP.C.6
  • CCSS.MATH.PRACTICE.MP2 CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

In this lesson, students will create their own probability models to simulate determining the experimental probability of certain genetic combinations through exploring genotypes and phenotypes. Students will then compare experimental probability to the theoretical probabilities based on the Punnett square.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.7.A
  • CCSS.MATH.CONTENT.7.SP.C.7.B
  • NGSS.MS-LS3-2
  • NGSS Science & Engineering Practices: 1, 2, 4, 5, 6, 8

MyStemKits 3D Kits Used

In this lesson, students will explore the use of probability models to simulate natural selection of a type of organism. Using both theoretical and experimental probability concepts will demonstrate that simulations do not always behave as expected.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.7.A
  • CCSS.MATH.CONTENT.7.SP.C.7.B
  • NGSS.MS-LS4-6
  • NGSS Science & Engineering Practices: 1, 2, 4, 5, 6, 8

MyStemKits 3D Kits Used

In this lesson, students will be introduced to the concept of compound events. Students will build a conceptual understanding of the function of tree diagrams by creating all the possible combinations of a scenario. Students will then create their own simulation to generate frequencies of the scenario.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.8.A
  • CCSS.MATH.CONTENT.7.SP.C.8.B
  • CCSS.MATH.CONTENT.7.SP.C.8.C
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP6
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.MATH.PRACTICE.MP8

MyStemKits 3D Kits Used

In this lesson, students will be introduced to the concept of compound events. Students will build a conceptual understanding by relating the use of organized lists and/or tree diagrams to the multiplication rule of probability. Students will be exposed to basic independent and dependent events.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.C.8.A
  • CCSS.MATH.CONTENT.7.SP.C.8.B

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will explore a statistical consumer analysis investigation on two different types of microwave popcorn. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way. Due to the multiple avenues the students can choose, the standards will vary.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.ELA-LITERACY.RST.6-8.3
  • CCSS.ELA-LITERACY.RST.11-12.3
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

No 3D Kit Used

In this lesson, students will collect data with a temperature probe and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation to determine which soda cup is the best. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a problem-based STEM challenge. There are many standards covered in this lesson due to the multiple skills that students will use.

Standards Addressed

  • CCSS.MATH.CONTENT.7.SP.A.1
  • CCSS.MATH.CONTENT.7.SP.A.2
  • CCSS.MATH.CONTENT.7.SP.B.3
  • CCSS.MATH.CONTENT.7.SP.B.4
  • CCSS.MATH.CONTENT.HSS.ID.A.1
  • CCSS.MATH.CONTENT.HSS.ID.A.2
  • CCSS.MATH.CONTENT.HSS.ID.A.3
  • CCSS.MATH.PRACTICE.MP2
  • CCSS.MATH.PRACTICE.MP4
  • CCSS.MATH.PRACTICE.MP5
  • CCSS.MATH.PRACTICE.MP7
  • CCSS.ELA-LITERACY.RST.6-8.3
  • CCSS.ELA-LITERACY.RST.11-12.3
  • NGSS Science & Engineering Practices: 2, 3, 4, 5, 8

MyStemKits 3D Kits Used

  • Sensor Wand
  • Temperature Probe (No 3D Kit Used)
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